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I think you are correct. Light is a wave because it demonstrates wave properties, but when considered as packets of photons, it own demonstrate particle-like properties. This is called wave-particle duality. It depends on the circumstances and what effects you're studying.
Yes. Photons and electrons have both particle and wave light properties. They behave like waves together in a group. Moreover, based on the wave-particle duality, large objects have wave properties as well. However, this can’t really be proved because it’s hard to observe=serve, based in their large mass. For small things like photons and electrons, however, we can tell that they have both wave and particle properties.
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